Overview

This text is aimed at experts in probability theory, theory of random processes and mathematcial statistics who are interested in the almost sure asymptotic behaviour in summability schemes, like operator normed sums and weighted sums. Numerous sections should be of use to those who work in Gaussian processes, stochastic recurrence equations, and probability theory in topological vector spaces. It should also be of use in university courses.

Full Product Details

Author:   V.V. Buldygin ,  Serguei Solntsev
Publisher:   Springer
Imprint:   Springer
Edition:   1997 ed.
Volume:   416
Dimensions:   Width: 17.00cm , Height: 2.80cm , Length: 24.40cm
Weight:   2.000kg
ISBN:  

9780792346326

ISBN 10:   0792346327
Pages:   504
Publication Date:   30 June 1997
Audience:   College/higher education ,  Professional and scholarly ,  Undergraduate ,  Postgraduate, Research & Scholarly
Format:   Hardback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

I Random series and linear transformations of sequences of independent random elements.- 0 Random elements and their convergence (preliminary notions).- 1 Series of independent random elements.- 2 Linear transformations of independent random elements and series in sequence spaces.- II Limit theorems for operator-normed sums of independent random vectors and their applications.- 3 Operator-normed sums of independent random vectors.- 4 Operator-normed sums of independent identically distributed random vectors.- 5 Asymptotic properties of Gaussian Markov sequences.- 6 Continuity of sample paths of Gaussian Markov processes.- 7 Asymptotic properties of recurrent random sequences.- 8 The interplay between strong and weak limit theorems for sums of independent random variables.- Comments.- Subject indcx.- List of Notations.

Reviews

'The book contains a rich amount of new material that can be of interest to many researchers. Numerous sections will be of use to researchers who work with Gaussian processes, stochastic recurrence relations, operator normed sums and weighted sums. Many topics appear in this monographic form for the first time. The excellent bibliographic list contains over 200 titles.! I strongly recommend this book to anyone interested in strong limit theorems.' kwantitative methoden, 59 (1998)

The book contains a rich amount of new material that can be of interest to many researchers. Numerous sections will be of use to researchers who work with Gaussian processes, stochastic recurrence relations, operator normed sums and weighted sums. Many topics appear in this monographic form for the first time. The excellent bibliographic list contains over 200 titles.! I strongly recommend this book to anyone interested in strong limit theorems.' kwantitative methoden, 59 (1998)

'The book contains a rich amount of new material that can be of interest to many researchers. Numerous sections will be of use to researchers who work with Gaussian processes, stochastic recurrence relations, operator normed sums and weighted sums. Many topics appear in this monographic form for the first time. The excellent bibliographic list contains over 200 titles.! I strongly recommend this book to anyone interested in strong limit theorems.' kwantitative methoden, 59 (1998)

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